Question
Answer
$$2(x+7)+3(x+1)=5x+17$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(x+7)+3(x+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x+14+3x+3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x+17\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( x+7\right) $ $$ \color{blue}{2} \cdot \left( x+7\right) = 2x+14 $$Multiply $ \color{blue}{3} $ by $ \left( x+1\right) $ $$ \color{blue}{3} \cdot \left( x+1\right) = 3x+3 $$ |
| ② | Combine like terms: $$ \color{blue}{2x} + \color{red}{14} + \color{blue}{3x} + \color{red}{3} = \color{blue}{5x} + \color{red}{17} $$ |
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